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The number 42766

42766 is a composite number with 4 divisors. Its prime factorisation is 2 × 21383. Divisors (4): 1, 2, 21383, 42766.

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How to work it out

  1. 1

    What is special about 42766: a semiprime: 2 × 21383, the product of two primes.

  2. 2

    42766 is composite. Its prime factorisation is

    42766=2×2138342766 = 2 \times 21383
  3. 3

    The divisors add up to 64152; without 42766 itself that is 21386, so 42766 is deficient (21386 is less than 42766). Euler's totient φ(42766) = 21382 numbers up to 42766 share no factor with it.

  4. 4

    The digits of 42766 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42766 = 2 \times 21383 \]

42766 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors64152
Euler totient φ(n)21382
Square1828930756
Cube78216052711096
Square root206.799420
Digit sum / digital root25 / 7
Collatz steps to 1150
Scientific notation4.2766 × 10410^{4}

42766 in other forms

FormValue
In wordsforty-two thousand seven hundred and sixty-six
Binary (base 2)1010011100001110
Octal (base 8)123416
Hexadecimal (base 16)A70E
Base 32011122221
As time42766 seconds = 11 h 52 min 46 s

Is 42766 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42766 ÷ 2 = 21383)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42766 a prime number?

No. 42766 = 2 × 21383, so it is divisible by 2.

What are the factors of 42766?

1, 2, 21383, 42766.

What is 42766 in binary?

1010011100001110 (hexadecimal A70E, octal 123416).

What is the square root of 42766?

About 206.7994.

Is 42766 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 42766?

42766 is a semiprime: 2 × 21383, the product of two primes.

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